Collinear points lie on the same line. Find the value of k for which the following points are collinear: (k,3), (-3,2), (-1,1)

**Answer:**

k=-5

**Step-by-step explanation:**

For the points to be collinear any two pair must have the same slope

We find the slope of the 2nd and 3rd points

=1-2/-1--3

=-1/2

Now finding the slope of the 1st and any other point say point 3

1-3/-1-k=-½

-2/-1-k=-½

-4=-1(-1-k)

-4=1+k

k=-4-1

k=-5

PROOF

if the first point is (-5,3)

slope of point 1 and 2

=2-3/-3--5

=-1/2

Your bank account balance is -$20.85. You deposit the $15.50. What is your new balance?

**Answer:**

-5.35

**Step-by-step explanation:**

-20.85

+15.50

this helps with the problem

Citydog Screen Printers received two orders for a t-shirt designed for a math symposium. The first order was for 40 shirts at a total cost of $295 and the second order was for an additional 80 shirts at a total cost of $565. Each order included a shipping and handling charge.

1.Write the linear equation that models the equation?

2.What is the cost per T-shirt?

3.What is the standard shipping and handling bag?

**Step-by-step explanation:**

Citydog Screen Printers received two orders for a t-shirt designed for a math symposium. The first order was for 40 shirts at a total cost of $295 and the second order was for an additional 80 shirts at a total cost of $565. Each order included a shipping and handling charge.

Then we have to writer a linear equation, for which I got: y-27/4x+25. We also had to find the cost per t-shirt, for which I got: $31.75. The last part I don't understand, however: fidn the shipping and handling charge.

The second word problem is:

It costs Consolidated Cereals Corporation $1050 to produce 100 boxes of corn flakes and $1250 to produce 500 boxes. I found the cost function: c(x)=1/2x+1000 but don't know how to determine the fixed cost and the variable cost per box (mainly because I have no idea what those are.)

Cost= m x+b

x is the cost per shirt, b is the handling charge

295=40m+b

565=80m+b

subtract the first equation from the second:

370=40x solve for m, the cost of each shirt. Then solve for b, put all that into y= mx+b

One the second question,

Cost= variable cost * n + Fixedcosts or

cost= n*v+F

1250=500v+f

1050=100v+f

subtract the second equation from the first

200=400v solve for v, and it is 1/2 dollar. Solve for f, the fixed cost, and it looks as if it is 1000 dollars.

I wrote a cheque for $10 and he threw my 2 dollar how much do I have left

**Answer:**

you have $ 8

**Step-by-step explanation:**

cheque wrote ,=$10

and he threw =$2

then total $ left will be $8

please mark me brainleast

3. For the sequence defined by tn= 3n + 8,

find each indicated term.

a) t1

b) t7

c) t14

**Step-by-step explanation:**

Hi there!

According to the question;

nth term (tn) = 3n+8

a).

T1 = 3*1+8

= 11

b).

t7 = 3*7+8

= 29

c).

t14 = 3*14+8

= 50

**Therefore, t1 = 11, t7 = 29, t14 = 50.**

**Hope**** it**** helps****!**

**Answer:**

11, 29, 50

**Step-by-step explanation:**

To find the appropriate term , substitute the term number into the rule, that is

(a) t₁ = 3(1) + 8 = 3 + 8 = 11

(b) t₇ = 3(7) + 8 = 21 + 8 = 29

(c) t₁₄ = 3(14) + 8 = 42 + 8 = 50

A number line shows 1 1/5, −2 2/5, and −1 3/5. Which statement is NOT true?

**Answer:**

The answer Is A 1 1/5 < -2 2/5

**Step-by-step explanation:**

It says that this statement is true because 1 1/5 is to the left of -2 2/5 on the number line but it is actually to the right because -2 2/5 is negative while 1 1/5 is positive therefore making it larger and the correct statement would be that 1 1/5 > -2 2/5

Im bad at money :/ do please help me

T**he third answer**

**1 quarter, 6 dimes, 1 nickel, 7 pennies**

20 PTS + Brainliest. Please find the size of the blue area, explain your work.

**here is answer, hope u understand:)**

What is the answer ?

**Answer:**

**27**

**Step-by-step explanation:**

36 divided by 4 equals 9 which is what the sea turtle can swim in 1 second. Multiply 9 by 3 and you'll get 27.

**Answer:**

**Step-by-step explanation:**

Solve for W.

4w=5.12

**Answer:**

x =1.28

**Step-by-step explanation:**

4w=5.12

Divide each side by 4

4w/4 = 5.12/4

x =1.28

The answer is w=1.28

someone help me asap

**Answer:**

19/20 cups

**Step-by-step explanation:**

Add the amounts together

1/4 + 7/10

Get a common denominator of 20

1/4 *5/5 + 7/10 *2/2

5/20 + 14/20

19/20

**Answer:**

19/20

**Step-by-step explanation:**

find a common denominator then do the same with the numerator then add.

Can someone tell me the asnwer to this ASAP?

**Answer:**

[tex]2\sqrt{2} \\2[/tex]

**Step-by-step explanation:**

[tex]\sqrt{8} = \sqrt{4*2} = \sqrt{4} * \sqrt{2} = 2*\sqrt{2} = 2\sqrt{2} \\\\\sqrt[3]{8} = \sqrt{2*2*2} = 2[/tex]

**Answer:**

I noticed that [tex]\sqrt{8\\}[/tex] does not have 3 on it like the second one. And i wonder that the answers would be different from each other

[tex]2\sqrt{2}[/tex]

2

I need answers asap!!!!!!!

**Step-by-step explanation:**

with God everything is possible

explanation

because we go to church

in a certain country, 40% of registered voters are reublicans, 45% are democrats, and 15% are indepdents. what is the probability that a randomly selected voter opposes the bill
Where did the first Americans come from? Where did they migrate?
all the number sets that apply to -4/5
Employees are working within an excavation that is more than 4 foot deep and cannot safely exit the site. What is a hazard that needs to be addressed in this situation?Select the best option.Access/EgressOxygen Deficiency and Toxic FumesWater Accumulation
New ideas based on an older Chinese system of beliefs that taught people should be concerned with their good behavior in this world as well as the afterlife.a. Daoism b. Legalism c. Neo-Confucianism d. Zen Buddhism
Create an assignment on some outcomes of the effects on the rise ofcities in Europe.
ANSWER FAST 50 POINTS PLEASE !!!Identify the property that justifies each step asked about in the answer area below.Line 1: (9+x)xLine 2: x(9+x)Line 3: x(x+9)
can someone please help me with this?
Proteins are one of the four maintypes ofbiomoleculesO livingO complex
PLS HELPP6 times what =9??
In the following sentence, what is the purpose of the word old?The very old truck was in great shape.AIt is an adverb describing a verb.BIt is an adverb describing an adjective.C It is an adjective describing a noun.DIt is an adjective describing an adverb.
Jace has consumed 1,500 calories so far today. He has also burned off 400 calories at the gym. He would like to keep his daily calorie total to 1,900 calories per day. How many calories does he have left to consume for the day? Is 1,100 a viable solution to this problem? Yes; 1,100 is less than 1,500. No; 1,100 is more than the 400 he burned off at the gym. No; 1,100 will cause him to exceed 1,900. Yes; 1,100 is less than 1,900.
If f(x) = x (ln x), find f'(x).A. e^(x + 1)B. 1 + ln xC. 1 + e^xD. (ln x)^2 + x
(-4+ 8x) +3>What is the solution to the inequality-4?
what is text or picture behiind the document called ?
Line segment JM has endpoints with coordinates 0 and 25 on a number line. Points K and L are on segment JM. K has a coordinate of 5 and point L has a coordinate of 12. Find the probability that a point on JM is placed first on JL and a second point is not placed on KL.
im genuinely confused, please help
Solve for x: -2 - 4 > 8 (9th grade Algebra 1)
i was quite a short book i read it _____a day a) on b)at c) in d about
Identify the part of speech for the underlined words in the sentence below.I bought three boxes of popcorn at the store, and I also bought candy.a.nounsb.verbsc.adverbsd.adjectivesThe underlined words are boxes, popcorn, and candy.I bought three boxes of popcorn at the store, and I also bought candy.a.nounb.prepositionc.adjectived.adverbThe underlined word was boughtI bought three boxes of popcorn at the store, and I also bought candy.a.nounb.prepositionc.adjectived.adverbThe underlined word is three.I bought three boxes of popcorn at the store, and I also bought candy.a.prepositionsb.conjunctionsc.pronounsd.adverbsThe underlined words are of and at.Identify the part of speech for the underlined word in the sentence below.I bought three boxes of popcorn at the store, and I also bought candy.a.adverbb.conjunctionc.adjectived.prepositionThe underlined word is also.